# A merchant has 144 kg of sugar, part of which he sells at 3% loss and the rest at 9% profit. He gains 5% on the whole...

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A merchant has 144 kg of sugar, part of which he sells at 3% loss and the rest at 9% profit. He gains 5% on the whole. What is the quantity of sugar sold at 3% loss?

posted May 16, 2017

48 kg
lf the quantity sold at 3% loss is x and at 9% profit is (144-x), the cost price being c per kg we have
x*0.97c+(144-x)*1.09c=1.05*144c. Cancelling c we get x=48 kg

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